Question 1

When light illuminates a grating with 7000 lines per centimeter,its second order maximum is at 62.4°.What is the wavelength of the light?

Accepted Answer

A) 336 nm 
B) 363 nm 
C) 633 nm 
D) 752 nm 
A) 336 nm 
B) 363 nm 
C) 633 nm 
D) 752 nm

Question 2

Even with perfect optics,what is the resolution limit (in radians)of the Hubble Space Telescope when it is focusing light of wavelength 400 nm? The mirror diameter is 2.4 m.

Accepted Answer

The answer of Even with perfect optics,what is the resolution...

Question 3

In a two-slit experiment using coherent light,the distance between the slits and the screen is 1.10 m,and the distance between the slits is 0.0400 mm.If the second order bright fringe is measured to be 4.20 cm from the centerline on the screen,what is the wavelength of light?

Accepted Answer

A) 200 nm 
B) 381 nm 
C) 401 nm 
D) 620 nm 
E) 763 nm 
A) 200 nm 
B) 381 nm 
C) 401 nm 
D) 620 nm 
E) 763 nm

Question 4

What is the slit spacing of a grating necessary so that 600-nm light will produce a first order principal maximum at 25.0° away from the centerline?

Accepted Answer

A) 1.42 μm 
B) 2.01 μm 
C) 3.12 μm 
D) 4.12 μm 
E) 5.44 μm 
A) 1.42 μm 
B) 2.01 μm 
C) 3.12 μm 
D) 4.12 μm 
E) 5.44 μm

Question 5

A thick slab of plastic lies at the bottom of a tank filled with water having an index of refraction of 1.33.A narrow laser beam is shone directly downward through the water on the plastic.You then gradually rotate the laser,thereby increasing the angle with respect to the normal that it strikes the plastic.You carefully note that at the instant the beam makes an angle of 66.5° with the normal in the water,no light enters the plastic,but it did enter for angles smaller than that.What is the speed of light in the plastic slab? (c = 3.00 × 108 m/s)

Accepted Answer

Question 6

A puddle of water has a thin film of gasoline floating on it.A beam of light is shining perpendicular on the film.If the wavelength of light incident on the film is 560 nm and the indices of refraction of gasoline and water are 1.40 and 1.33,respectively,what must be the minimum thickness of the film to see a bright reflection?

Accepted Answer

A) 100 nm 
B) 200 nm 
C) 300 nm 
D) 400 nm 
E) 500 nm 
A) 100 nm 
B) 200 nm 
C) 300 nm 
D) 400 nm 
E) 500 nm

Question 7

When a single slit that is 0.050 mm wide is illuminated by light of 550-nm wavelength,what is the angular separation between the first two minima on one side of the central maximum?

Accepted Answer

A) 0.36° 
B) 0.47° 
C) 0.54° 
D) 0.63° 
E) 1.3° 
A) 0.36° 
B) 0.47° 
C) 0.54° 
D) 0.63° 
E) 1.3°

Question 8

Consider an experiment using a grating with 7000 lines/cm,a screen 2.50 m away,and a $440 - n m$ wavelength beam of light.
(a)How many side maxima will be observed on one side of the central maximum?
(b)How far apart on the screen are the first-order and second-order maxima on the same side of the central maximum?

Accepted Answer

(a)3 
(b)1

Question 9

The figure shows the resulting pattern of light intensity when a single slit is illuminated by monochromatic light.The slit is 0.3 × $10 ^{- 3}$ m wide and is illuminated by light of wavelength 506 nm.A diffraction pattern is seen on a screen 2.8 m from the slit.What is the linear distance on the screen between the first two diffraction minima on either side of the central diffraction maximum?

Accepted Answer

The answer of The figure shows the resulting pattern of...

Question 10

Light of wavelength 550 nm in air is found to travel at 1.96 × 108 m/s in a certain liquid.(c = 3.0 × 108 m/s)
(a)What is the index of refraction of this liquid?
(b)What is the frequency of the light in air?

Accepted Answer

(a)1.53 
(

Question 11

A two-slit arrangement with 60.3 μm separation between the slits is illuminated with $\text { 491.0 nm }$ coherent light.If a viewing screen is located 2.14 m from the slits,find the distance from the first dark fringe on one side of the central maximum to the second dark fringe on the other side.

Accepted Answer

A) 52.3 mm 
B) 34.9 mm 
C) 69.7 mm 
D) 24.6 mm 
A) 52.3 mm 
B) 34.9 mm 
C) 69.7 mm 
D) 24.6 mm

Question 12

A two-slit arrangement with 60.3 μm separation between the slits is illuminated with 537.0-nm wavelength light.If a viewing screen is located 2.14 m from the slits,find the distance on the screen from the first dark fringe on one side of the central maximum to the second dark fringe on the other side.

Accepted Answer

A) 57.2 mm 
B) 38.1 mm 
C) 76.3 mm 
D) 26.9 mm 
A) 57.2 mm 
B) 38.1 mm 
C) 76.3 mm 
D) 26.9 mm

Question 13

A beam of light of wavelength 630 nm is incident on a slit that is 0.400 mm wide.If the distance between the slit and the screen is 1.80 m,what is the width on the screen of the central bright fringe?

Accepted Answer

A) 1.94 mm 
B) 2.94 mm 
C) 3.54 mm 
D) 5.67 mm 
E) 6.94 mm 
A) 1.94 mm 
B) 2.94 mm 
C) 3.54 mm 
D) 5.67 mm 
E) 6.94 mm

Question 14

A double-slit experiment uses coherent light of wavelength 633 nm with a slit separation of 0.100 mm and a screen placed 2.0 m away.
(a)How wide on the screen is the central bright fringe?
(b)What is the distance on the screen between first-order and second-order bright fringes?
(c)What is the angular separation (in radians)between the central maximum and the first-order maximum?

Accepted Answer

(a)1.3 cm

Question 15

The pupil of a person's eye changes from a diameter of 3.5 mm to 1.5 mm as the illumination is increased.By what factor does the minimum angle of resolution change?

Accepted Answer

A) 0.43 
B) 0.65 
C) 2.0 
D) 2.3 
A) 0.43 
B) 0.65 
C) 2.0 
D) 2.3

Question 16

A pair of narrow slits that are 1.8 mm apart is illuminated by a monochromatic coherent light source.A fringe pattern is observed on a screen 4.8 m from the slits.If there are 5.0 bright fringes/cm on the screen,what is the wavelength of the monochromatic light?

Accepted Answer

A) 550 nm 
B) 600 nm 
C) 650 nm 
D) 700 nm 
E) 750 nm 
A) 550 nm 
B) 600 nm 
C) 650 nm 
D) 700 nm 
E) 750 nm

Question 17

A camera with a 20-cm diameter lens is recording images using a filter that allows only light of wavelength 600 nm to pass through.
(a)What is the limit on the angular resolution (in microradians)in this case?
(b)What is the diameter of the minimum-sized features that could be resolved on Mars with this camera? The distance to Mars at the time is 9.0 × 107 km.

Accepted Answer

(a)3.7 µra

Question 18

Coherent light of wavelength 519 nm passes through two slits.In the resulting interference pattern on a screen 4.6 m away,adjacent bright fringes are $4.0 \mathrm {~mm}$ apart.What is the separation of the two slits?

Accepted Answer

The answer of Coherent light of wavelength 519 nm passes...

Question 19

A pair of narrow slits that are 1.8 mm apart is illuminated by a monochromatic coherent light source.A fringe pattern is observed on a screen 4.8 m from the slits.If the wavelength of the monochromatic light is 450 nm,what is the angular separation between adjacent dark fringes on the screen,measured in milliradians?

Accepted Answer

A) 0.15 mrad 
B) 0.20 mrad 
C) 0.25 mrad 
D) 0.30 mrad 
E) 0.36 mrad 
A) 0.15 mrad 
B) 0.20 mrad 
C) 0.25 mrad 
D) 0.30 mrad 
E) 0.36 mrad

Question 20

Light is incident perpendicularly from air onto a liquid film that is on a glass plate.The liquid film is $199 \mathrm {~nm}$ thick,and the liquid has index of refraction 1.60.The glass has index of refraction 1.50.Calculate the longest visible wavelength (as measured in air)of the light for which there will be totally destructive interference between the rays reflected from the top and bottom surfaces of the film.Assume that the visible spectrum lies between 400 nm and 700 nm.

Accepted Answer

The answer of Light is incident perpendicularly from air onto...

Exam 24: Wave Optics

When light illuminates a grating with 7000 lines per centimeter,its second order maximum is at 62.4°.What is the wavelength of the light?

Even with perfect optics,what is the resolution limit (in radians)of the Hubble Space Telescope when it is focusing light of wavelength 400 nm? The mirror diameter is 2.4 m.

In a two-slit experiment using coherent light,the distance between the slits and the screen is 1.10 m,and the distance between the slits is 0.0400 mm.If the second order bright fringe is measured to be 4.20 cm from the centerline on the screen,what is the wavelength of light?

What is the slit spacing of a grating necessary so that 600-nm light will produce a first order principal maximum at 25.0° away from the centerline?

When a single slit that is 0.050 mm wide is illuminated by light of 550-nm wavelength,what is the angular separation between the first two minima on one side of the central maximum?

Light of wavelength 550 nm in air is found to travel at 1.96 × 108 m/s in a certain liquid.(c = 3.0 × 108 m/s) (a)What is the index of refraction of this liquid? (b)What is the frequency of the light in air?

A beam of light of wavelength 630 nm is incident on a slit that is 0.400 mm wide.If the distance between the slit and the screen is 1.80 m,what is the width on the screen of the central bright fringe?

The pupil of a person's eye changes from a diameter of 3.5 mm to 1.5 mm as the illumination is increased.By what factor does the minimum angle of resolution change?

A pair of narrow slits that are 1.8 mm apart is illuminated by a monochromatic coherent light source.A fringe pattern is observed on a screen 4.8 m from the slits.If there are 5.0 bright fringes/cm on the screen,what is the wavelength of the monochromatic light?

Coherent light of wavelength 519 nm passes through two slits.In the resulting interference pattern on a screen 4.6 m away,adjacent bright fringes are 4.0 mm4.0 \mathrm {~mm}4.0 mm apart.What is the separation of the two slits?

Introduction

Kinematics: Motion in One Dimension

Newtonian Mechanics

Applying Newtons Laws

Circular Motion

Impulse and Linear Momentum

Work and Energy

Extended Bodies at Rest

Rotational Motion

Gases

Static Fluids

Fluids in Motion

First Law of Thermodynamics

Second Law of Thermodynamics

Electric Charge force and Energy

The Electric Field

Dc Circuits

Magnetism

Electromagnetic Induction

Vibrational Motion

Mechanical Waves

Reflection and Refraction

Mirrors and Lenses

Electromagnetic Waves

Special Relativity

Quantum Optics

Atomic Physics

Nuclear Physics

Particle Physics

Filters

Light of wavelength 550 nm in air is found to travel at 1.96 × 10⁸ m/s in a certain liquid.(c = 3.0 × 10⁸ m/s) (a)What is the index of refraction of this liquid? (b)What is the frequency of the light in air?

Coherent light of wavelength 519 nm passes through two slits.In the resulting interference pattern on a screen 4.6 m away,adjacent bright fringes are $4.0 \mathrm {~mm}$ apart.What is the separation of the two slits?